2399961600144 has 320 divisors, whose sum is σ = 7391126937600. Its totient is φ = 743752627200.

The previous prime is 2399961600109. The next prime is 2399961600173. The reversal of 2399961600144 is 4410061699932.

It is a happy number.

2399961600144 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 9 + 616 + 0 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110388027 + ... + 110409765.

It is an arithmetic number, because the mean of its divisors is an integer number (23097271680).

Almost surely, 2^{2399961600144} is an apocalyptic number.

2399961600144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2399961600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695563468800).

2399961600144 is an abundant number, since it is smaller than the sum of its proper divisors (4991165337456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2399961600144 is a wasteful number, since it uses less digits than its factorization.

2399961600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22091 (or 22079 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 2399961600144 in words is "two trillion, three hundred ninety-nine billion, nine hundred sixty-one million, six hundred thousand, one hundred forty-four".